Interesting; that's indeed an uncommon form of tinnitus. If you are curious, here are some simulated samples[1].
Make sure though you set the volume at a comfortable level first, and listen all of them to get a representative idea (the first half are noisy/low-frequency; the second half are of the high-pitched variety, like my own).
[1] http://www.hearing.nihr.ac.uk/public/auditory-examples-sound...